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3433113706950 = 2325231435723287
BaseRepresentation
bin110001111101010101100…
…001011110000111000110
3110011012110121010020202200
4301331111201132013012
5422222004102110300
611145052313215330
7503014521010554
oct61752541360706
913135417106680
103433113706950
111103a80206234
1247543aa01546
131bb98364a285
14bc240c68bd4
155e4832bb200
hex31f5585e1c6

3433113706950 has 144 divisors (see below), whose sum is σ = 9742592910336. Its totient is φ = 865360843200.

The previous prime is 3433113706909. The next prime is 3433113706951. The reversal of 3433113706950 is 596073113343.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3433113706896 and 3433113706905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3433113706951) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2261794 + ... + 3461493.

Almost surely, 23433113706950 is an apocalyptic number.

3433113706950 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3433113706950 is an abundant number, since it is smaller than the sum of its proper divisors (6309479203386).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3433113706950 is a wasteful number, since it uses less digits than its factorization.

3433113706950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5723379 (or 5723371 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The spelling of 3433113706950 in words is "three trillion, four hundred thirty-three billion, one hundred thirteen million, seven hundred six thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 31 43 45 50 62 75 86 90 93 129 150 155 186 215 225 258 279 310 387 430 450 465 558 645 774 775 930 1075 1290 1333 1395 1550 1935 2150 2325 2666 2790 3225 3870 3999 4650 6450 6665 6975 7998 9675 11997 13330 13950 19350 19995 23994 33325 39990 59985 66650 99975 119970 199950 299925 599850 5723287 11446574 17169861 28616435 34339722 51509583 57232870 85849305 103019166 143082175 171698610 177421897 246101341 257547915 286164350 354843794 429246525 492202682 515095830 532265691 738304023 858493050 887109485 1064531382 1230506705 1287739575 1476608046 1596797073 1774218970 2214912069 2461013410 2575479150 2661328455 3193594146 3691520115 4429824138 4435547425 5322656910 6152533525 7383040230 7629141571 7983985365 8871094850 11074560345 12305067050 13306642275 15258283142 15967970730 18457600575 22149120690 22887424713 26613284550 36915201150 38145707855 39919926825 45774849426 55372801725 68662274139 76291415710 79839853650 110745603450 114437123565 137324548278 190728539275 228874247130 343311370695 381457078550 572185617825 686622741390 1144371235650 1716556853475 3433113706950